Question

find the roots of quadratic equation x square + 3x -10 =0​

Answer 1

Answer:

Roots of the quadratic equation = -5 , 2

Step-by-step explanation:

We Have :-

x² + 3x - 10

To Find :-

Roots of the qudratic

Method Used :-

Middle Term Splitting

Solution :-

$x^{2} +3x-10=0\\\\x^{2} + 5x - 2x - 10=0\\\\x(x+5)-2(x+5)=0\\\\(x+5)(x-2) =0\\\\x=-5,2$

Roots of the quadratic equation = -5 , 2

Answer 2

Step-by-step explanation:

$\huge\bf\underline{\underline{\pink{❄A} \orange{N}\blue{S}\red{W}\green{E}\purple{R❄}}} \\ \\ {x}^{2} + 3x - 10 = 0 \\ {x}^{2} + 5x - 2x - 10 = 0 \\ x(x + 5) - 2(x + 5) = 0 \\ (x + 5)(x - 2) = 0 \\ x + 5 = 0 \: \: \: or \: \: \: x - 2 = 0 \\ \large{ \boxed {\boxed {x = { \underline{ \underline{ - 5}}} \: \: \: or \: \: \: x ={ \underline{ \underline{ 2}}}}}}$